Singularities of the eta function of first order differential operators
We report on a particular case of the paper [7], joint with Raphaël Ponge, showing that generically, the eta function of a first-order differential operator over a closed manifold of dimension n has first-order poles at all positive integers of the form n - 1; n - 3; n - 5;. . . .
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| Format: | Article |
| Language: | English |
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Sciendo
2012-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/v10309-012-0040-5 |
| _version_ | 1811328293788450816 |
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| author | Loya Paul Moroianu Sergiu |
| author_facet | Loya Paul Moroianu Sergiu |
| author_sort | Loya Paul |
| collection | DOAJ |
| description | We report on a particular case of the paper [7], joint with Raphaël Ponge, showing that generically, the eta function of a first-order differential operator over a closed manifold of dimension n has first-order poles at all positive integers of the form n - 1; n - 3; n - 5;. . . . |
| first_indexed | 2024-04-13T15:22:43Z |
| format | Article |
| id | doaj.art-d8123c7fc6bc4c8e97f4a7af30af24d5 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-13T15:22:43Z |
| publishDate | 2012-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-d8123c7fc6bc4c8e97f4a7af30af24d52022-12-22T02:41:37ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-06-01202597010.2478/v10309-012-0040-5Singularities of the eta function of first order differential operatorsLoya Paul0Moroianu Sergiu1Department of Mathematics, Binghamton University, Binghamton, NY 13902, U.S.A.Institutul de Matematică al Academiei Române, P.O. Box 1-764, RO-014700 Bucharest, RomaniaWe report on a particular case of the paper [7], joint with Raphaël Ponge, showing that generically, the eta function of a first-order differential operator over a closed manifold of dimension n has first-order poles at all positive integers of the form n - 1; n - 3; n - 5;. . . .https://doi.org/10.2478/v10309-012-0040-5singularitiespoles and residuesmeromorphic structureseta and zeta functionsdirac and elliptic operators |
| spellingShingle | Loya Paul Moroianu Sergiu Singularities of the eta function of first order differential operators Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica singularities poles and residues meromorphic structures eta and zeta functions dirac and elliptic operators |
| title | Singularities of the eta function of first order differential operators |
| title_full | Singularities of the eta function of first order differential operators |
| title_fullStr | Singularities of the eta function of first order differential operators |
| title_full_unstemmed | Singularities of the eta function of first order differential operators |
| title_short | Singularities of the eta function of first order differential operators |
| title_sort | singularities of the eta function of first order differential operators |
| topic | singularities poles and residues meromorphic structures eta and zeta functions dirac and elliptic operators |
| url | https://doi.org/10.2478/v10309-012-0040-5 |
| work_keys_str_mv | AT loyapaul singularitiesoftheetafunctionoffirstorderdifferentialoperators AT moroianusergiu singularitiesoftheetafunctionoffirstorderdifferentialoperators |